'Stay out of it': Carney has hinted he will resist attempts by politicians to influence Bank of England policy

And the comments were immediately taken as a swipe at the Prime Minister, who last week openly criticised the effects of the Bank of England’s money printing programme on millions of hard-up savers and pensioners.

She said the rich had got richer while the poor had been squeezed.

But speaking at BoE event in Birmingham yesterday, Mr Carney snapped: “We are not going to take instruction on our policies from the political side.”

And in another dig, he said any “distributional consequences” of his policies – such as a squeeze on savers - were a matter for Government to fix.

He insisted the Bank’s actions since the Referendum vote, including cutting interest rates to a new record low of just 0.25 per cent, had safeguarded 500,000 jobs by steadying the economy.

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Mr Carney yesterday warned the economy would slow and said the tumbling Pound would hit hard-working families by pushing up the price of everything from food and petrol to consumer goods.

He said inflation could hit 3 per cent by the end of next year – 1 per cent above the BoE’s target.

The Governor – hired by close pal George Osborne in 2012 – said Sterling’s fall “helps the economy adjust” by aiding exporters. But he said it is “going to get difficult [for those on the lowest incomes] as we move from no inflation to some inflation.”

He said: “We are willing to tolerate a bit of an overshoot [on inflation] to avoid unnecessary unemployment.” He added: “The economy has just started a major period of adjustment and what we all want is to make this as successful as possible.”

Theresa May has suggested Carney's policies have been damaging to the British people

Mr Carney – who spent 13 years at Goldman Sachs before joining the BoE – infuriated Brexit campaigners during the Referendum campaign.

Pro-Leave MPs accused the Governor of going too far with a string of warnings about how a Brexit vote would trigger a “technical recession” and calling it the “biggest domestic risk to financial stability”.

In a withering letter in June, Vote Leave’s Bernard Jenkin he had breached independence rules banning the BoE Governor from “any public comment”.

In a thinly veiled threat, Mr Jenkin added the Governor had to be “very careful what he says”.

Former Governor Lord Mervyn King has repeatedly played down alarmist talk of a Brexit. Earlier this week, he said the Pound’s sharp fall was a “welcome change” that would help support the economy.

He added: “During the Referendum campaign, someone said the real danger of Brexit is you’ll end up with higher interest rates, lower house prices and a lower exchange rate, and I thought: dream on.”